The famous baseball player, a man known for his fast pitches, was entered into the Hall of Fame. The appositive phrase is 'a man known for his fast pitches.
The following sentence contains an infinitive.
An infinitive form of the verb is preceded by the word 'to' and is used as a noun. Examples include: to eat, to buy, to run, to play, to sleep, to dream, and to fly.
In this sentence, "to spend" is the infinitive. It is used as the direct object of the verb loves.